Study of subdiffusion equation with different fractional derivative and their analysis
Abstract
In this paper, we obtained a solution of the fractional subdiffusion equation with initial and boundary conditions. The fractional derivative is of type Caputo, Caputo-Fabrizio, and Atangana-Baleanu-Caputo sense. Furthermore, we developed the Crank-Nicolson finite difference method to obtain a numerical solution for the subdiffusion equation. We compare numerical solutions obtained by using various fractional derivatives and representing graphically by using Python software. Also, we discussed the stability and convergence of the scheme.
Copyright © 2024 Jagdish Sonawane, Bhausaheb Sontakke, Kalyanrao Takale. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
J. Sonawane, B. Sontakke, K. Takale, Study of subdiffusion equation with different fractional derivative and their analysis, J. Math. Comput. Sci. 14 (2024), 11. https://doi.org/10.28919/jmcs/8754
BibTeX
@article{Sonawane2024,
author = {Sonawane, Jagdish and Sontakke, Bhausaheb and Takale, Kalyanrao},
title = {Study of subdiffusion equation with different fractional derivative and their analysis},
journal = {J. Math. Comput. Sci.},
volume = {14},
year = {2024},
pages = {11},
doi = {10.28919/jmcs/8754}
}